# Compound Measures Worksheet • This field is for validation purposes and should be left unchanged.

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• Section 1 of the compound measures worksheet  contains 27 skills-based compound measures questions, in 3 groups to support differentiation
• Section 2 contains 3 applied compound measures questions with a mix of worded problems and deeper problem solving questions
• Section 3 contains 4 foundation and higher level GCSE exam style compound measures questions
• Answers and a mark scheme for all compound measures questions are provided
• Questions follow variation theory with plenty of opportunities for students to work independently at their own level
• All questions created by fully qualified expert secondary maths teachers
• Suitable for GCSE maths revision for AQA, OCR, and Edexcel and WJEC exam boards

### Compound measures at a glance

Compound measures are measures that use more than one unit.

Speed (Distance, Time)

Speed is found using the formula Speed = Distance divided by Time. The units for speed are therefore distance per unit of time. Examples include miles per hour or metres per second.

To find the average speed for a whole journey we would calculate the total distance divided by the total time.

Density (Mass, Volume)

Density is calculated using the formula Density – Mass divided by Volume. The units for density are therefore mass per unit of volume. Examples include g/cm3 and kg/m3, since the volume of cuboids, prisms and all 3D objects is measured in cubic units.

Pressure (Force, Area)

Pressure is calculated using the formula Pressure = Force divided by Area. The units are therefore force per unit of area. Examples include N/m2 and Pa (Pascals).

Other compound measures

Other measures that use compound units include rates of pay, for example £15/hour and rates of flow, for example 10 litres/min.

Looking forward, students can then progress to additional ratio and proportion worksheets, for example a ratio worksheet or a simplifying and equivalent ratios worksheet.

For more teaching and learning support on Ratio and Proportion our GCSE maths lessons provide step by step support for all GCSE maths concepts.

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